Exercise
$\frac{d}{dx}\left(\frac{3x^{\frac{2}{3}}}{2}\right)$
Step-by-step Solution
Learn how to solve power rule for derivatives problems step by step online. Find the derivative of (3x^(2/3))/2. The derivative of a function multiplied by a constant (\frac{1}{2}) is equal to the constant times the derivative of the function. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function. Multiply the fraction and term in 3\left(\frac{1}{2}\right)\frac{d}{dx}\left(\sqrt[3]{x^{2}}\right). The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}.
Find the derivative of (3x^(2/3))/2
Final answer to the exercise
$\frac{1}{\sqrt[3]{x}}$